A new hypergeometric transformation of the Rathie-Rakha type
Abstract
A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gausss summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gausss second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords:
Summation formula / Generalized hypergeometric function / Hypergeometric identity / Hypergeometric transformation / Gausss second summation theoremSource:
Applied Mathematics Letters, 2011, 24, 3, 340-343Funding / projects:
- Fizička hemija dinamičkih stanja i struktura neravnotežnih sistema - od monotone do oscilatorne evolucije i haosa (RS-MESTD-MPN2006-2010-142025)
DOI: 10.1016/j.aml.2010.10.019
ISSN: 0893-9659
WoS: 000285659800020
Scopus: 2-s2.0-78650029401
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VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2011 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4178 AB - A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gausss summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gausss second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon. (C) 2010 Elsevier Ltd. All rights reserved. T2 - Applied Mathematics Letters T1 - A new hypergeometric transformation of the Rathie-Rakha type VL - 24 IS - 3 SP - 340 EP - 343 DO - 10.1016/j.aml.2010.10.019 ER -
@article{ author = "Cvijović, Đurđe", year = "2011", abstract = "A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gausss summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gausss second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon. (C) 2010 Elsevier Ltd. All rights reserved.", journal = "Applied Mathematics Letters", title = "A new hypergeometric transformation of the Rathie-Rakha type", volume = "24", number = "3", pages = "340-343", doi = "10.1016/j.aml.2010.10.019" }
Cvijović, Đ.. (2011). A new hypergeometric transformation of the Rathie-Rakha type. in Applied Mathematics Letters, 24(3), 340-343. https://doi.org/10.1016/j.aml.2010.10.019
Cvijović Đ. A new hypergeometric transformation of the Rathie-Rakha type. in Applied Mathematics Letters. 2011;24(3):340-343. doi:10.1016/j.aml.2010.10.019 .
Cvijović, Đurđe, "A new hypergeometric transformation of the Rathie-Rakha type" in Applied Mathematics Letters, 24, no. 3 (2011):340-343, https://doi.org/10.1016/j.aml.2010.10.019 . .